-6(-4x+4)-8x=2(x-6)-5

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Solution for -6(-4x+4)-8x=2(x-6)-5 equation:


Simplifying
-6(-4x + 4) + -8x = 2(x + -6) + -5

Reorder the terms:
-6(4 + -4x) + -8x = 2(x + -6) + -5
(4 * -6 + -4x * -6) + -8x = 2(x + -6) + -5
(-24 + 24x) + -8x = 2(x + -6) + -5

Combine like terms: 24x + -8x = 16x
-24 + 16x = 2(x + -6) + -5

Reorder the terms:
-24 + 16x = 2(-6 + x) + -5
-24 + 16x = (-6 * 2 + x * 2) + -5
-24 + 16x = (-12 + 2x) + -5

Reorder the terms:
-24 + 16x = -12 + -5 + 2x

Combine like terms: -12 + -5 = -17
-24 + 16x = -17 + 2x

Solving
-24 + 16x = -17 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-24 + 16x + -2x = -17 + 2x + -2x

Combine like terms: 16x + -2x = 14x
-24 + 14x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 14x = -17 + 0
-24 + 14x = -17

Add '24' to each side of the equation.
-24 + 24 + 14x = -17 + 24

Combine like terms: -24 + 24 = 0
0 + 14x = -17 + 24
14x = -17 + 24

Combine like terms: -17 + 24 = 7
14x = 7

Divide each side by '14'.
x = 0.5

Simplifying
x = 0.5

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